In the original work of [1]}, the only way to change the angular deficit is to change the mass since \(G\)  remains constant. In our case, \(G_{eff}\)  depends on the coupling \(\xi \) . Therefore as \(\xi \)  changes, one can encounter a scenario (and one does as our numerical results will show) where a higher mass yields a smaller deficit angle than a smaller mass. This is another instance of how the non-minimal coupling term plays a novel role.
